08-55 Fritz Gesztesy and Maxim Zinchenko

Local Spectral Properties of Reflectionless Jacobi, CMV, and Schr\"odinger Operators (94K, LaTeX) Mar 21, 08

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Abstract. We prove that Jacobi, CMV, and Schr\"odinger operators, which are reflectionless on a homogeneous set $\cE$ (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at $\cE$, have purely absolutely continuous spectrum on $\cE$.

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